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6006660 = 22351119479
BaseRepresentation
bin10110111010011110000100
3102022011120220
4112322132010
53014203120
6332424340
7102025062
oct26723604
912264526
106006660
113432990
1220180b0
13132404a
14b25032
157d9b40
hex5ba784

6006660 has 96 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 1376640.

The previous prime is 6006643. The next prime is 6006667. The reversal of 6006660 is 666006.

It is a self number, because there is not a number n which added to its sum of digits gives 6006660.

It is not an unprimeable number, because it can be changed into a prime (6006667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12301 + ... + 12779.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 26006660 is an apocalyptic number.

6006660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6006660 is an abundant number, since it is smaller than the sum of its proper divisors (13346940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6006660 is a wasteful number, since it uses less digits than its factorization.

6006660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6006660 is about 2450.8488325476. The cubic root of 6006660 is about 181.7792678841.

It can be divided in two parts, 6006 and 660, that added together give a palindrome (6666).

The spelling of 6006660 in words is "six million, six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 479 570 627 660 836 958 1045 1140 1254 1437 1916 2090 2395 2508 2874 3135 4180 4790 5269 5748 6270 7185 9101 9580 10538 12540 14370 15807 18202 21076 26345 27303 28740 31614 36404 45505 52690 54606 63228 79035 91010 100111 105380 109212 136515 158070 182020 200222 273030 300333 316140 400444 500555 546060 600666 1001110 1201332 1501665 2002220 3003330 6006660